LCM of 381, 855, 209, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 855, 209, 285 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 381, 855, 209, 285. So, keep reading to learn more.
Given numbers are 381,855,209,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,855,209,285 is 1194435.
Find LCM of 381,855,209,285 with Prime Factorization
| 3 | 381, 855, 209, 285 |
| 5 | 127, 285, 209, 95 |
| 19 | 127, 57, 209, 19 |
| 127, 3, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 127 x 3 x 11 x 1 = 1194435
Therefore, the lowest common multiple of 381,855,209,285 is 1194435.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
381 x 855 x 209 x 285 = 19403596575
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
381 : 1, 3, 127, 381
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
209 : 1, 11, 19, 209
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,855,209,285, is 1.
Now, the common factors can be found like this.
381:3x 127
855:3x 3x 5x 19
209:11x 19
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 19x 19 = 16245
Therefore, the value for common factors is 16245.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 19403596575/(1x16245)
LCM = 19403596575/16245
LCM = 1194435
Thus, we can understand that the LCM of 381,855,209,285 is 1194435.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 855, 209, 285
1. What is the LCM of 381, 855, 209, 285?
Answer: LCM of 381, 855, 209, 285 is 1194435.
2. How to calculate the LCM of 381, 855, 209, 285?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 381, 855, 209, 285.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.